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Finding the Third Proportional to 359,729 and 519,703

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Solution

The third proportional to 359,729 and 519,703 is: 750,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,729 : 519,703 = 519,703 : x
  2. Step 2: Convert to fraction form
    359,729/519,703 = 519,703/x
  3. Step 3: Cross multiply
    359,729x = 519,703 × 519,703
  4. Step 4: Simplify right side
    359,729x = 270,091,208,209
  5. Step 5: Solve for x
    x = 270,091,208,209/359,729
  6. Step 6: Final answer
    x = 750,818.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.